Fourier theoretic inequalities for inclusion of simple C*-algebras

2022/10/17 by Keshab Chandra Bakshi, Satyajit Guin, Bakshi, Keshab Chandra +2
Mathematics · #Advanced Operator Algebra Research #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Information Theory (cs.IT) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2210.09006

openalex publication_date 2022/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper originates from a naive attempt to establish various non-commutative Fourier theoretic inequalities for an inclusion of simple C*-algebras equipped with a conditional expectation of index-finite type. In this setting, we discuss the Hausdorff-Young inequality and Young's inequality. As a consequence, we prove the Hirschman-Beckner uncertainty principle and Donoho-Stark uncertainty principle. Our results generalize some of the results of Jiang, Liu and Wu [Noncommutative uncertainty principle, J. Funct. Anal., 270(1): 264--311, 2016].

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